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Finding the Fourth Proportional to 3,870.24, 5,794.92 and 3,086.52

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Solution

The fourth proportional to 3,870.24, 5,794.92 and 3,086.52 is: 4,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.24 : 5,794.92 = 3,086.52 : x
  2. Step 2: Convert to fraction form
    3,870.24/5,794.92 = 3,086.52/x
  3. Step 3: Cross multiply
    3,870.24x = 5,794.92 × 3,086.52
  4. Step 4: Simplify right side
    3,870.24x = 17,886,136.48
  5. Step 5: Solve for x
    x = 17,886,136.48/3,870.24
  6. Step 6: Final answer
    x = 4,621.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.